2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/102307We derive a formula for the entries of the (unitriangular) transition matrices between the standard monomial and dual canonical bases of the irreducible polynomial representations of U_q(gl_n) in terms of Kazhdan-Lusztig polynomials.29 pages; v2: some references addedQuantum AlgebraRepresentation Theory17B37text